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arXiv · 0801.1396

Rationally connected $3$-folds and symplectic geometry

Claire Voisin
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Abstract

We study the following question, asked to us By Pandharipande and Starr: Let $X$ be a rationally connected $3$-fold, and $Y$ be a compact Kaehler $3$-fold symplectically equivalent to it. Is $Y$ rationally connected? We show that the answer is positive if $X$ is Fano or $b_2(X)\leq2$.

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Claire Voisin. 2008-03-27. Rationally connected $3$-folds and symplectic geometry. https://arxiv.org/abs/0801.1396

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